472643200 has 96 divisors (see below), whose sum is σ = 1177781760. Its totient is φ = 187407360.

The previous prime is 472643173. The next prime is 472643219. The reversal of 472643200 is 2346274.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405819 + ... + 406981.

It is an arithmetic number, because the mean of its divisors is an integer number (12268560).

Almost surely, 2^472643200 is an apocalyptic number.

472643200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588890880).

472643200 is an abundant number, since it is smaller than the sum of its proper divisors (705138560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472643200 is a wasteful number, since it uses less digits than its factorization.

472643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 472643200 is about 21740.3587826880. The cubic root of 472643200 is about 778.9527914735.

Adding to 472643200 its reverse (2346274), we get a palindrome (474989474).

The spelling of 472643200 in words is "four hundred seventy-two million, six hundred forty-three thousand, two hundred".